Can't think of any teen books that teens would want to read that didn't include controversy or mature themes. Swearing comes by the by with some but not all. Not everyone likes fantasy so you're presumably thinking about real-world kind of stories?
Okay, how about books by David Almond? They are a little bit magical-realisty but deal with emotions and 'different' characters. Skellig, or Clay, or The Fire-Eaters, or Kit's Wilderness are all good.
Michael Morpurgo writes pretty depressing books really but they have mature themes without going over the top: Private Peaceful, When the Whales Came,.
Eva Ibbotson's Journey to the River Sea is a good story about family and 'green' issues.
What do you mean by mature themes? Nothing to do with boy/girl relations at all? Or things like war (lots of good books around set in WW2).
Books which are no way offensive are the Casson family books by Hilary McKay. There are five books in the set about different members of the family. But they don't necessarily appeal to all boys.
Geraldine McCaughrean's books are usually very good and not "dealing with teen abortion" kind of thing. Any of her books would be good but Peter Pan in Scarlet is pretty ace.
Or pick a classic like Black Beauty or Treasure Island. You won't read them over two sessions though.